Asymptotically exact theory of fiber-reinforced composite beams

2020/01/15 by Le, Khanh Chau, Tran, Tuan Minh · 1 citation
#Classical Physics (physics.class-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2001.05945

Abstract

An asymptotic analysis of the energy functional of a fiber-reinforced composite beam with a periodic microstructure in its cross section is performed. From this analysis the asymptotically exact energy as well as the 1-D beam theory of first order is derived. The effective stiffnesses of the beam are calculated in the most general case from the numerical solution of the cell and homogenized cross-sectional problems.

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